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You want to make a salad from whatever vegetable you have in the fridge. You have seven different tomatoes. There are 2 red tomatoes, 4 yellow tomatoes, and one black tomato in the fridge. You have three different bell peppers. There is 1 red pepper, 1 yellow pepper, and 1 green pepper. What is the probability of randomly choosing a vegetable and getting a red tomato, and a green pepper? Round your answer to four decimal places.  

Find the sample variance for the following sample data. Round your answer to the nearest hundredth.   23 20 14 32 29

Find the sample standard deviation s for the following sample data. Round your answer to the nearest hundredth.   23 20 14 35 28

Monica has six different pairs of jeans. There are 3 pairs of blue jeans, 2 pairs of black jeans, and 1 pair of white jeans. Monica has four different shirts. There are 2 white shirts, 1 black shirt, and 1 red shirt. What is the probability that Monica will pick white jeans and a red shirt as her outfit for today?  Round your answer to two decimal places.  ​

The qualified student pool for two scholarships consists of seven students majoring in Biology and four students majoring in Computer Science. How many different groups of students would consist entirely of students majoring in Computer Science? ​

Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.     Less Than 1 Year  1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008 ​ What is the probability that a customer chosen at random is from the East given that he or she has been loyal from 10 to 14 years? Round your answer to the nearest thousandth.

When do creative people get their good ideas? In a study examining the productivity of 958 software developers, the research team collected data on the time of day when developers reported having their most innovative coding ideas:   Time of Day When Innovative Coding Ideas Occur Time Number of Developers 9 A.M. – 1 P.M. 286 1 P.M. – 5 P.M. 135 5 P.M. – 9 P.M. 319 9 P.M. – 1 A.M. 218 ​ Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that a software developer has an innovative coding idea during the time interval from 1 P.M. to 5 P.M. Write your answer as a fraction in simplest form.

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable x.   15 0 37 23 33 25 26 -15 -15 -23 6 -1 28 18 24 17 18 -1 -2 -6

Are tech stocks more volatile than utility stocks? Let x be a random variable representing the annual percent return for a portfolio of technology stocks. Let y be a random variable representing the annual percent return for a portfolio of utility stocks. For the past few years, assume the following data. Compute the sample mean for x and for y. Round your answer to the nearest tenth.   x: 13 0 30 21 23 23 24 –13 –13 –21 y: 9 –2 6 16 22 6 16 –2 –3 –9

In a mountainous region renowned for its winter sports, avalanche safety is a top priority. A team of safety experts has been diligently recording the number of avalanches occurring at various locations over a 5-year period. The study differentiates between the Upper Mountain Range and the Lower Mountain Range. Compute a 5% trimmed mean for Upper Mountain Range and Lower Mountain Range. Round your answer to the nearest thousandth. ​ For Upper Mountain Range: Number of avalanches at specific points 12 13 11 11 13 14 14 17 13 11 13 ​ For Lower Mountain Range: Number of avalanches at specific points 16 11 11 0 14 15 12 20 13 0 11 19 12 11 ​ ​